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5 papers · 2 filters
The Becker-Döring process: pathwise convergence and phase transition phenomena
Erwan Hingant, Romain Yvinec
In this note, we study an infinite reaction network called the stochastic Becker-Döring process, a sub-class of the general coagulation-fragmentation models. We prove pathwise conv…
The extinction problem for a class of distylous plant populations
Gerold Alsmeyer, Kilian Raschel
In this paper, the extinction problem for a class of distylous plant populations is considered within the framework of certain nonhomogeneous nearest-neighbor random walks in the p…
Corrigendum to "Regularity structures and renormalisation of FitzHugh-Nagumo SPDEs in three space dimensions"
Nils Berglund, Christian Kuehn
Lemma 4.8 in the article [Regularity structures and renormalisation of FitzHugh-Nagumo SPDEs in three space dimensions, Electronic J. Probability 21 (18):1-48 (2016), arXiv:1504.02…
A family of random sup-measures with long-range dependence
Olivier Durieu, Yizao Wang
A family of self-similar and translation-invariant random sup-measures with long-range dependence are investigated. They are shown to arise as the limit of the empirical random sup…
Boundary behavior for random walks in cones
Kilian Raschel, Pierre Tarrago
We study the asymptotic behavior of zero-drift random walks confined to multidimensional convex cones, when the endpoint is close to the boundary. We derive a local limit theorem i…